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RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a universal package of computer programs for the study and solution of complex nonlinear differential equations and their systems. The development will be useful for hydrodynamics, gas dynamics, mechanics, elementary particle physics, plasma physics and elasticity theory. The article was published in the journal Computer Physics Communications.

Many processes in physics are mathematically described by partial differential equations — for example, string vibrations or heat transfer from one part of a solid to another. RUDN mathematicians have created a package of tools for the analysis of such equations and their systems. Previously, triangular decomposition methods were used to solve such differential equations: a complex equation was sequentially divided into simpler parts. The authors took a different approach - the Thomas decomposition method. During the tests, he showed superiority over previously used methods.

RUDN mathematicians also gave examples of application of the software package in practice by solving the Navier-Stokes and Burgers equations for an incompressible fluid that underlies hydrodynamics 

The software of RUDN mathematicians will expand the base of existing algorithms and simplify the work of specialists in physics, physical chemistry and information technology. The created tool package will help to find solutions of differential equations and their systems faster and with greater accuracy compared to previously existing methods.
 

Main Publications View all
15 Nov 2017
RUDN University scientists publish results of their scientific researches in highly-recognized in whole world and indexed in international databases journals (Web of Science, Scopus ect.). That, of course, corresponds to the high status of the University and its international recognition. Publications of June-September 2017 ( In Journals of categories Q1-Q3)
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30 Jan 2018
The conference on international arbitration, where law students from European universities simulate court proceedings and alternately defend the interests of the respondent and the orator.
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30 Dec
Biologists from RUDN University discovered the secret of flaxseed oil with long shelf life

Biologists from RUDN University working together with their colleagues from the Institute of Molecular Biology of the Russian Academy of Sciences and the Institute of Flax studied the genes that determine the fatty acid composition in flaxseed oil and identified polymorphisms in six of them. The team also found out what gene variations could extend the shelf life of flaxseed oil. This data can be used to improve the genetic selection of new flax breeds. The results were published in the BMC Plant Biology journal.

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30 Dec 2020
RUDN University chemists developed cheap and eco-friendly surfactants

An international team including chemists from RUDN University suggested an economically feasible and environmentally friendly method to synthesize surfactants. The new compounds can become an eco-friendly alternative to traditional chemicals used in oil production, skincare products manufacture, and in the pharmaceutical industry to transport drugs to diseased body tissues.

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30 Dec 2020
RUDN University Mathematicians Applied 19th Century Ideas To Modern Computerized Algebra Systems

A team of mathematicians from RUDN University added new symbolic integration functionality to the Sage computerized algebra system. The team implemented ideas and methods suggested by the German mathematician Karl Weierstrass in the 1870s.

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